Q2- Draw the influence lines for the vertical reactions at supports B and D, shear and bending moment at point C for the given continues beam shown in Figure 2. determine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to a concentrated live load of X, kN, a uniformly distributed live load of 2X, kN/m, and a uniformly distributed dead load of X, kN/m. D E F A В C -6 m- 4 m- -3 m- 4 m- -5 m-
Q2- Draw the influence lines for the vertical reactions at supports B and D, shear and bending moment at point C for the given continues beam shown in Figure 2. determine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to a concentrated live load of X, kN, a uniformly distributed live load of 2X, kN/m, and a uniformly distributed dead load of X, kN/m. D E F A В C -6 m- 4 m- -3 m- 4 m- -5 m-
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Figure 1
Q2- Draw the influence lines for the vertical reactions at supports B and D, shear and bending moment at point C
for the given continues beam shown in Figure 2. determine the maximum positive and negative shears and the
maximum positive and negative bending moments at point C due to a concentrated live load of X2 kN, a uniformly
distributed live load of 2X1 kN/m, and a uniformly distributed dead load of X1 kN/m.
C
D
E
F
A
В
-5 m-
-6 m-
4 m-
-3 m-
-4 m-
Figure 2
X1 = 100.8
2X1= 201.6
X2= 549
Transcribed Image Text:Important: Please show X1, and X2 according to your student number.
Q1. Use the virtual work method to determine the rotation of joint D of the frame shown in Fig. 1. Both supports
of A and B are pin connections. There is a hinge at point E in the structure.
X1 kN/m
21 D
21
21 F 21
3 m
Hinge
X2
kN
3 m
A
- 3 m--
-5 m
5 m
2 m
NOTE:
X1 = 100.8KN/m
E= 200 GPa
X2= 549KN
I = 350 (106) mm4
Figure 1
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Follow-up Question
By using Muller Breslau’s Principle and the prismatic beam shown in Figure Q1 below, draw quantitative influence lines for the:
(a) Vertical reactions at B,
(b) Bending moment at point C and
(c) Shear force at point C
Transcribed Image Text:Figure Q1
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